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Wood product differentiation in age-structured forestry

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  • Laukkanen, Matti
  • Tahvonen, Olli

Abstract

We develop the classic market-level, age-structured forest model by extending the description of forestry output from homogenous wood to a set of differentiated outputs such as sawlogs and biofuels. The extension changes several most established results on the long-run sustainable market equilibrium of forestry. We show the existence of an optimal steady state with two (or more) simultaneous rotation periods. This equilibrium yields a smooth timber flow without normal forest structure and thus deviates from existing normal forest results as well as results on equilibrium cycles. We further show that the optimal rotation structure depends on wood product demand and the demand for land outside forestry, another feature that is absent in previous model formulations.

Suggested Citation

  • Laukkanen, Matti & Tahvonen, Olli, 2023. "Wood product differentiation in age-structured forestry," Resource and Energy Economics, Elsevier, vol. 73(C).
    • Handle: RePEc:eee:resene:v:73:y:2023:i:c:s0928765523000295
    DOI: 10.1016/j.reseneeco.2023.101374
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    References listed on IDEAS

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    1. Tapan Mitra & Henry Y. Wan, 1985. "Some Theoretical Results on the Economics of Forestry," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 263-282.
    2. Salo, Seppo & Tahvonen, Olli, 2002. "On Equilibrium Cycles and Normal Forests in Optimal Harvesting of Tree Vintages," Journal of Environmental Economics and Management, Elsevier, vol. 44(1), pages 1-22, July.
    3. Patto, João V. & Rosa, Renato, 2022. "Adapting to frequent fires: Optimal forest management revisited," Journal of Environmental Economics and Management, Elsevier, vol. 111(C).
    4. Mitra, Tapan & Wan, Henry Jr., 1986. "On the faustmann solution to the forest management problem," Journal of Economic Theory, Elsevier, vol. 40(2), pages 229-249, December.
    5. Olli Tahvonen, 2004. "Optimal Harvesting Of Forest Age Classes: A Survey Of Some Recent Results," Mathematical Population Studies, Taylor & Francis Journals, vol. 11(3-4), pages 205-232.
    6. Tahvonen, Olli & Rautiainen, Aapo, 2017. "Economics of forest carbon storage and the additionality principle," Resource and Energy Economics, Elsevier, vol. 50(C), pages 124-134.
    7. Ken-Ichi Akao, 2011. "Optimum forest program when the carbon sequestration service of a forest has value," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 13(4), pages 323-343, December.
    8. Roberto Cominetti & Adriana Piazza, 2009. "Asymptotic Convergence of Optimal Policies for Resource Management with Application to Harvesting of Multiple Species Forest," Mathematics of Operations Research, INFORMS, vol. 34(3), pages 576-593, August.
    9. Salo, Seppo & Tahvonen, Olli, 2003. "On the economics of forest vintages," Journal of Economic Dynamics and Control, Elsevier, vol. 27(8), pages 1411-1435, June.
    10. Aino Assmuth & Janne Rämö & Olli Tahvonen, 2021. "Optimal Carbon Storage in Mixed-Species Size-Structured Forests," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 79(2), pages 249-275, June.
    11. Cunha-e-Sá, Maria A. & Rosa, Renato & Costa-Duarte, Clara, 2013. "Natural carbon capture and storage (NCCS): Forests, land use and carbon accounting," Resource and Energy Economics, Elsevier, vol. 35(2), pages 148-170.
    12. Piazza, Adriana & Roy, Santanu, 2015. "Deforestation and optimal management," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 15-27.
    13. Tahvonen, Olli & Suominen, Antti & Malo, Pekka & Viitasaari, Lauri & Parkatti, Vesa-Pekka, 2022. "Optimizing high-dimensional stochastic forestry via reinforcement learning," Journal of Economic Dynamics and Control, Elsevier, vol. 145(C).
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Optimal rotation; Normal forest; Wood products; Age-structured models; Vintage capital;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • Q15 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Land Ownership and Tenure; Land Reform; Land Use; Irrigation; Agriculture and Environment
    • Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry

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